Results 1 to 10 of about 44 (44)
The Plectic Weight Filtration on Cohomology of Shimura Varieties and Partial Frobenius
Forum of Mathematics, Sigma, 2021 We prove that there is a natural plectic weight filtration on the cohomology of Hilbert modular varieties in the spirit of Nekovář and Scholl. This is achieved with the help of Morel’s work on weight t-structures and a detailed study of partial Frobenius.
Zhiyou Wu
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On the Skew Lie Product and Derivations of Prime Rings with Involution
Discussiones Mathematicae - General Algebra and Applications, 2021 Let R be a ring with involution ′∗′. The skew Lie product of a, b ∈ R is defined by ∗[a, b] = ab − ba∗. The purpose of this paper is to study the commutativity of a prime ring which satisfies the various ∗-differential identities involving skew Lie ...
Mozumder Muzibur Rahman +3 more
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THE FREE ENERGY OF THE TWO-DIMENSIONAL DILUTE BOSE GAS. I. LOWER BOUND
Forum of Mathematics, Sigma, 2020 We prove a lower bound for the free energy (per unit volume) of the two-dimensional Bose gas in the thermodynamic limit. We show that the free energy at density $\unicode[STIX]{x1D70C}$ and inverse temperature $\unicode[STIX]{x1D6FD}$ differs from the ...
ANDREAS DEUCHERT +2 more
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The cohomology of Torelli groups is algebraic
Forum of Mathematics, Sigma, 2020 The Torelli group of $W_g = \#^g S^n \times S^n$ is the group of diffeomorphisms of $W_g$ fixing a disc that act trivially on $H_n(W_g;\mathbb{Z} )$ .
Alexander Kupers, Oscar Randal-Williams
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Jordan triple (α,β)-higher ∗-derivations on semiprime rings
Demonstratio Mathematica, 2023 In this article, we define the following: Let N0{{\mathbb{N}}}_{0} be the set of all nonnegative integers and D=(di)i∈N0D={\left({d}_{i})}_{i\in {{\mathbb{N}}}_{0}} a family of additive mappings of a ∗\ast -ring RR such that d0=idR{d}_{0}=i{d}_{R}. DD is
Ezzat O. H.
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Hilbert’s 17th problem in free skew fields
Forum of Mathematics, Sigma, 2020 This paper solves the rational noncommutative analogue of Hilbert’s 17th problem: if a noncommutative rational function is positive semidefinite on all tuples of Hermitian matrices in its domain, then it is a sum of Hermitian squares of noncommutative ...
Jurij Volčič
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Open Mathematics, 2017 In calculus, an indefinite integral of a function f is a differentiable function F whose derivative is equal to f. The main goal of the paper is to generalize this notion of the indefinite integral from the ring of real functions to any ring.
Banič Iztok
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A BILINEAR RUBIO DE FRANCIA INEQUALITY FOR ARBITRARY SQUARES
Forum of Mathematics, Sigma, 2016 We prove the boundedness of a smooth bilinear Rubio de Francia operator associated with an arbitrary collection of squares (with sides parallel to the axes) in the frequency plane $$\begin ...
CRISTINA BENEA, FRÉDÉRIC BERNICOT
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On dependent elements in rings
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 54, Page 2895-2906, 2004., 2004 Let R be an associative ring. An element a ∈ R is said to be dependent on a mapping F : R → R in case F(x)a = ax holds for all x ∈ R. In this paper, elements dependent on certain mappings on prime and semiprime rings are investigated. We prove, for example, that in case we have a semiprime ring R, there are no nonzero elements which are dependent on ...
Joso Vukman, Irena Kosi-Ulbl
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Lie n superderivations and generalized Lie n superderivations of superalgebras
Open Mathematics, 2018 In the paper, we study Lie n superderivations and generalized Lie n superderivations of superalgebras, using the theory of functional identities in superalgebras. We prove that if A = A0 ⊕ A1 is a prime superalgebra with deg(A1) ≥ 2n + 5, n ≥ 2, then any
Yuan He, Chen Liangyun
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